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Finding the Fourth Proportional to 5,874.08, 8,797.62 and 3,402.78

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Solution

The fourth proportional to 5,874.08, 8,797.62 and 3,402.78 is: 5,096.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.08 : 8,797.62 = 3,402.78 : x
  2. Step 2: Convert to fraction form
    5,874.08/8,797.62 = 3,402.78/x
  3. Step 3: Cross multiply
    5,874.08x = 8,797.62 × 3,402.78
  4. Step 4: Simplify right side
    5,874.08x = 29,936,365.38
  5. Step 5: Solve for x
    x = 29,936,365.38/5,874.08
  6. Step 6: Final answer
    x = 5,096.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.